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Popular >

simplify ln(xr^x)

Solution

simplify

ln (x r^{x})

Solution

ln (x) + x ln (r)

Solution steps

ln (x r^{x})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (x r^{x}) = ln (x) + ln (r^{x})

= ln (x) + ln (r^{x})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (r^{x}) = x ln (r)

= ln (x) + x ln (r)

Popular Examples

simplify log_{1.8}((4.22)/(3.13))+55.28-55.02 simplify

lo g_{1.8} (\frac{4.22}{3.13}) + 55.28 - 55.02

simplify ln(55/7)simplify

ln (\frac{55}{7})

simplify ln((a^{-4})/(b^{-4)c^4})simplify

ln (\frac{a ^{- 4}}{b ^{- 4} c ^{4}})

expand log_{2}(7x)expand

lo g_{2} (7 x)

simplify ln^2(t)+2ln(t)simplify

ln^{2} (t) + 2 ln (t)

Frequently Asked Questions (FAQ)

What is ln(xr^x) ?
The solution to ln(xr^x) is ln(x)+xln(r)